4001561160 has 64 divisors (see below), whose sum is σ = 12526634880. Its totient is φ = 1020687360.

The previous prime is 4001561159. The next prime is 4001561171. The reversal of 4001561160 is 611651004.

4001561160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4001561160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722161 + ... + 727680.

It is an arithmetic number, because the mean of its divisors is an integer number (195728670).

Almost surely, 2^4001561160 is an apocalyptic number.

4001561160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001561160 is an abundant number, since it is smaller than the sum of its proper divisors (8525073720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4001561160 is a wasteful number, since it uses less digits than its factorization.

4001561160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449878 (or 1449874 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 4001561160 is about 63257.8940528374. The cubic root of 4001561160 is about 1587.6075406926.

The spelling of 4001561160 in words is "four billion, one million, five hundred sixty-one thousand, one hundred sixty".